Reunion of random walkers with a long range interaction: applications to polymers and quantum mechanics

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Revtex 3.1, 9 pages (two-column format), 3 figures. Published version (PRE 63, 051103 (2001)). Reference corrections incorpora

Scientific paper

10.1103/PhysRevE.63.051103

We use renormalization group to calculate the reunion and survival exponents
of a set of random walkers interacting with a long range $1/r^2$ and a short
range interaction. These exponents are used to study the binding-unbinding
transition of polymers and the behavior of several quantum problems.

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